Procedures.
There are two main ways in which we can use the Shapley-Shubik index in an empirical study: (1) we can construct some sort of empirical index of power, make some assumptions about the relation between the empirical and a priori measures, and test the consistency of the empirical results with the a priori measures. Thus, we might assume that the empirical measure consists of the a priori measure plus an error term representing various other (nonposition) factors. If we can make some assumptions about the nature of the "error," we can test the consistency. Or,(2), we can deduce some additional propositions from the model underlying the index and test those propositions.
-Results.
Riker has applied the basic Shapley-Shubik measure to the French Assembly to derive changes in power indices for the various parties in the French Assembly during the period 1953-54, as thirty-four migrations from one party to another produced sixty-one individual changes in affiliation. The data did not support the hypothesis. In subsequent work, Riker has almost entirely abandoned the Shapley-Shubiik approach
Procedures.There are two main ways in which we can use the Shapley-Shubik index in an empirical study: (1) we can construct some sort of empirical index of power, make some assumptions about the relation between the empirical and a priori measures, and test the consistency of the empirical results with the a priori measures. Thus, we might assume that the empirical measure consists of the a priori measure plus an error term representing various other (nonposition) factors. If we can make some assumptions about the nature of the "error," we can test the consistency. Or,(2), we can deduce some additional propositions from the model underlying the index and test those propositions.-Results.Riker has applied the basic Shapley-Shubik measure to the French Assembly to derive changes in power indices for the various parties in the French Assembly during the period 1953-54, as thirty-four migrations from one party to another produced sixty-one individual changes in affiliation. The data did not support the hypothesis. In subsequent work, Riker has almost entirely abandoned the Shapley-Shubiik approach
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